%% dx = (0.015625,0.015625)
solution = [
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4.96959e-13 4.0267e-05 0.00016112 0.000362559 0.000644584 0.0010072 0.00145039 0.00197418 0.00257855 0.00326352 0.00402907 0.00487521 0.00580194 0.00680926 0.00789718 0.00906569 0.0103148 0.0116445 0.0130548 0.0145457 0.0161171 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0889963 0.0928243 0.0967331 0.100723 0.104793 0.108943 0.113175 0.117487 0.121879 0.126353 0.130906 0.135541 0.140256 0.145051 0.149927 0.154884 0.159921 0.165039 
1.6829e-15 4.34194e-05 0.000173743 0.00039097 0.000695101 0.00108614 0.00156408 0.00212892 0.00278067 0.00351933 0.00434489 0.00525735 0.00625673 0.00734301 0.00851619 0.00977628 0.0111233 0.0125572 0.014078 0.0156857 0.0173803 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0959737 0.100102 0.104317 0.10862 0.113009 0.117485 0.122048 0.126698 0.131435 0.136259 0.14117 0.146168 0.151252 0.156424 0.161682 0.167027 0.172459 0.177979 
6.40137e-14 4.66909e-05 0.000186842 0.000420453 0.000747525 0.00116806 0.00168205 0.0022895 0.00299042 0.00378479 0.00467262 0.00565392 0.00672867 0.00789689 0.00915856 0.0105137 0.0119623 0.0135043 0.0151398 0.0168688 0.0186911 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.103214 0.107654 0.112188 0.116815 0.121535 0.126349 0.131256 0.136257 0.141352 0.146539 0.151821 0.157195 0.162664 0.168225 0.17388 0.179629 0.185471 0.191406 
-4.21971e-15 5.00814e-05 0.000200418 0.000451009 0.000801856 0.00125296 0.00180431 0.00245592 0.00320779 0.00405991 0.00501228 0.00606491 0.00721779 0.00847092 0.00982431 0.0112779 0.0128318 0.0144859 0.0162403 0.0180948 0.0200496 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.106056 0.110718 0.115481 0.120344 0.125308 0.130371 0.135535 0.1408 0.146164 0.151629 0.157194 0.162859 0.168624 0.17449 0.180456 0.186522 0.192689 0.198955 0.205322 
1.98808e-14 5.35913e-05 0.000214471 0.000482638 0.000858094 0.00134084 0.00193087 0.00262819 0.00343279 0.00434468 0.00536386 0.00649033 0.00772407 0.0090651 0.0105134 0.012069 0.0137319 0.015502 0.0173794 0.019364 0.0214558 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.113496 0.118485 0.123582 0.128787 0.134099 0.139518 0.145044 0.150677 0.156418 0.162266 0.168222 0.174284 0.180454 0.186732 0.193116 0.199608 0.206207 0.212913 0.219727 
2.73349e-15 5.72204e-05 0.000229001 0.000515341 0.00091624 0.0014317 0.00206172 0.00280629 0.00366543 0.00463912 0.00572737 0.00693017 0.00824753 0.00967944 0.0112259 0.0128869 0.0146625 0.0165526 0.0185572 0.0206764 0.0229101 0.0252586 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.121186 0.126515 0.131958 0.137516 0.143188 0.148974 0.154875 0.16089 0.16702 0.173265 0.179624 0.186097 0.192685 0.199388 0.206205 0.213137 0.220183 0.227344 0.234619 
-2.26782e-13 6.0969e-05 0.000244008 0.000549117 0.000976295 0.00152554 0.00219686 0.00299024 0.00390569 0.00494321 0.00610279 0.00738444 0.00878816 0.0103139 0.0119618 0.0137317 0.0156236 0.0176376 0.0197737 0.0220318 0.024412 0.0269142 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.12913 0.134808 0.140609 0.146531 0.152575 0.15874 0.165028 0.171438 0.17797 0.184624 0.1914 0.198297 0.205317 0.212459 0.219723 0.227109 0.234618 0.242248 0.25 
4.33117e-15 6.48371e-05 0.000259493 0.000583967 0.00103826 0.00162237 0.00233629 0.00318003 0.00415359 0.00525696 0.00649015 0.00785315 0.00934596 0.0109686 0.012721 0.0146032 0.0166153 0.0187571 0.0210288 0.0234302 0.0259615 0.0286226 0.0314137 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.131418 0.137327 0.143366 0.149534 0.155832 0.16226 0.168817 0.175504 0.182321 0.189267 0.196343 0.203549 0.210885 0.21835 0.225946 0.233671 0.241526 0.24951 0.257625 0.265869 
8.09001e-14 6.88249e-05 0.000275455 0.000619891 0.00110213 0.00172217 0.00248002 0.00337567 0.00440912 0.00558038 0.00688943 0.00833628 0.00992093 0.0116434 0.0135036 0.0155017 0.0176375 0.0199111 0.0223225 0.0248717 0.0275587 0.0303834 0.0333457 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.13337 0.139504 0.145777 0.152187 0.158735 0.16542 0.172243 0.179204 0.186302 0.193538 0.200912 0.208424 0.216073 0.22386 0.231785 0.239847 0.248047 0.256385 0.264861 0.273475 0.282227 
5.48953e-15 7.29323e-05 0.000291895 0.000656889 0.00116791 0.00182496 0.00262805 0.00357715 0.00467229 0.00591345 0.00730064 0.00883385 0.0105131 0.0123383 0.0143096 0.0164269 0.0186902 0.0210995 0.0236549 0.0263562 0.0292036 0.0321969 0.0353361 0.0386213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.141329 0.147831 0.154479 0.161272 0.16821 0.175295 0.182525 0.189901 0.197423 0.205091 0.212905 0.220864 0.22897 0.237222 0.24562 0.254163 0.262853 0.271689 0.280671 0.289798 0.299072 
-7.99664e-15 7.71594e-05 0.000308813 0.000694962 0.0012356 0.00193074 0.00278036 0.00378448 0.00494309 0.00625619 0.00772378 0.00934585 0.0111224 0.0130535 0.015139 0.017379 0.0197735 0.0223225 0.0250259 0.0278838 0.0308962 0.034063 0.0373843 0.0408601 0.0444904 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.142796 0.149522 0.156401 0.163434 0.17062 0.177961 0.185456 0.193105 0.200908 0.208866 0.216978 0.225245 0.233666 0.242242 0.250972 0.259856 0.268895 0.278088 0.287436 0.296938 0.306595 0.316406 
1.52179e-15 8.15063e-05 0.00032621 0.000734109 0.0013052 0.00203949 0.00293698 0.00399766 0.00522153 0.00660859 0.00815884 0.00987229 0.0117489 0.0137887 0.0159917 0.0183579 0.0208873 0.0235799 0.0264356 0.0294545 0.0326366 0.0359818 0.0394903 0.0431619 0.0469967 0.0509949 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143905 0.150845 0.157948 0.165213 0.172641 0.180232 0.187986 0.195903 0.203983 0.212226 0.220632 0.229201 0.237933 0.246828 0.255887 0.265108 0.274493 0.284041 0.293752 0.303627 0.313664 0.323865 0.334229 
9.68684e-13 8.5973e-05 0.000344084 0.000774331 0.00137672 0.00215123 0.00309789 0.00421668 0.0055076 0.00697065 0.00860584 0.0104132 0.0123926 0.0145442 0.0168679 0.0193637 0.0220316 0.0248717 0.0278839 0.0310682 0.0344247 0.0379532 0.0416539 0.0455267 0.0495717 0.0537888 0.0581782 0 0 0 0 0 0 0 0 0 0 0 0 0 0.137684 0.144652 0.151796 0.159114 0.166605 0.174267 0.182102 0.190108 0.198286 0.206637 0.215159 0.223853 0.23272 0.241758 0.250969 0.260351 0.269906 0.279633 0.289532 0.299602 0.309846 0.320261 0.330848 0.341607 0.352539 
-4.18936e-16 9.05596e-05 0.000362436 0.000815628 0.00145014 0.00226596 0.00326309 0.00444154 0.00580131 0.00734238 0.00906476 0.0109685 0.0130535 0.0153198 0.0177674 0.0203963 0.0232065 0.026198 0.0293709 0.032725 0.0362604 0.0399772 0.0438752 0.0479545 0.0522152 0.0566572 0.0612805 0.0660851 0.0710707 0.0762376 0 0 0 0 0 0 0 0 0.130892 0.13787 0.14503 0.152372 0.159897 0.167604 0.175492 0.183563 0.191815 0.200247 0.208862 0.217657 0.226633 0.235791 0.24513 0.254651 0.264352 0.274235 0.284299 0.294544 0.304971 0.315579 0.326368 0.337339 0.34849 0.359823 0.371338 
9.23081e-14 9.5266e-05 0.000381266 0.000858 0.00152547 0.00238367 0.0034326 0.00467226 0.00610265 0.00772377 0.00953561 0.0115382 0.0137315 0.0161155 0.0186903 0.0214557 0.0244119 0.0275588 0.0308965 0.0344248 0.0381439 0.0420537 0.0461542 0.0504455 0.0549274 0.0596001 0.0644635 0.0695176 0.0747622 0.0801976 0.0858236 0.0916401 0.0976472 0.103845 0.110233 0.116812 0.123581 0.130541 0.137692 0.145034 0.152567 0.160291 0.168206 0.176313 0.184611 0.1931 0.20178 0.21065 0.219711 0.228963 0.238406 0.248039 0.257863 0.267878 0.278083 0.288479 0.299066 0.309843 0.320811 0.33197 0.34332 0.35486 0.366591 0.378513 0.390625 
-4.83901e-15 0.000100092 0.000400575 0.000901447 0.00160271 0.00250436 0.00360639 0.00490882 0.00641162 0.00811482 0.0100184 0.0121224 0.0144267 0.0169314 0.0196365 0.022542 0.0256479 0.0289541 0.0324607 0.0361677 0.0400751 0.0441828 0.0484909 0.0529994 0.0577083 0.0626175 0.0677271 0.073037 0.0785473 0.0842578 0.0901687 0.0962797 0.102591 0.109103 0.115815 0.122727 0.129839 0.137152 0.144665 0.152379 0.160294 0.168409 0.176725 0.185242 0.19396 0.202878 0.211997 0.221316 0.230836 0.240556 0.250477 0.260597 0.270918 0.28144 0.292162 0.303084 0.314207 0.325529 0.337053 0.348776 0.3607 0.372825 0.38515 0.397675 0.4104 
-1.2737e-13 0.000105038 0.000420361 0.000945968 0.00168186 0.00262803 0.00378448 0.00515122 0.00672824 0.00851553 0.0105131 0.012721 0.0151391 0.0177675 0.0206062 0.0236551 0.0269143 0.0303838 0.0340636 0.0379537 0.042054 0.0463645 0.0508854 0.0556165 0.0605579 0.0657095 0.0710714 0.0766435 0.0824258 0.0884184 0.0946211 0.101034 0.107657 0.114491 0.121534 0.128788 0.136252 0.143926 0.151811 0.159906 0.168211 0.176727 0.185454 0.194391 0.203539 0.212898 0.222467 0.232246 0.242235 0.252435 0.262845 0.273466 0.284296 0.295337 0.306588 0.31805 0.329721 0.341603 0.353695 0.365998 0.37851 0.391233 0.404167 0.41731 0.430664 
4.64559e-15 0.000110104 0.000440626 0.000991565 0.00176292 0.00275469 0.00396687 0.00539947 0.00705248 0.00892591 0.0110197 0.013334 0.0158686 0.0186237 0.0215992 0.0247951 0.0282113 0.031848 0.0357051 0.0397826 0.0440805 0.0485988 0.0533375 0.0582966 0.0634761 0.068876 0.0744963 0.0803369 0.0863979 0.0926793 0.099181 0.105903 0.112845 0.120008 0.127391 0.134995 0.142819 0.150863 0.159128 0.167613 0.176319 0.185246 0.194393 0.203761 0.213349 0.223159 0.233188 0.243439 0.253909 0.2646 0.275512 0.286644 0.297996 0.309569 0.321362 0.333376 0.34561 0.358064 0.370739 0.383634 0.39675 0.410086 0.423642 0.437419 0.451416 
8.44254e-13 0.00011529 0.000461369 0.00103824 0.00184589 0.00288433 0.00415356 0.00565357 0.00738437 0.00934595 0.0115383 0.0139615 0.0166154 0.0195001 0.0226156 0.0259618 0.0295389 0.0333467 0.0373853 0.0416547 0.0461548 0.0508857 0.0558474 0.0610399 0.0664631 0.0721171 0.0780018 0.0841173 0.0904635 0.0970405 0.103848 0.110887 0.118156 0.125656 0.133386 0.141348 0.14954 0.157963 0.166617 0.175502 0.184618 0.193964 0.203542 0.213351 0.22339 0.233661 0.244162 0.254895 0.265858 0.277052 0.288477 0.300132 0.312019 0.324136 0.336484 0.349062 0.361872 0.374912 0.388183 0.401685 0.415418 0.429381 0.443575 0.458 0.472656 
-3.39052e-15 0.000120596 0.00048259 0.00108598 0.00193077 0.00301696 0.00434454 0.00591351 0.00772388 0.00977565 0.0120688 0.0146034 0.0173793 0.0203966 0.0236553 0.0271554 0.0308969 0.0348798 0.0391041 0.0435698 0.0482768 0.0532252 0.058415 0.0638462 0.0695187 0.0754327 0.081588 0.0879846 0.0946226 0.101502 0.108623 0.115985 0.123588 0.131433 0.139519 0.147847 0.156416 0.165226 0.174278 0.183572 0.193107 0.202883 0.212901 0.223161 0.233662 0.244404 0.255388 0.266614 0.278081 0.289789 0.301739 0.313931 0.326363 0.339037 0.351953 0.36511 0.378508 0.392148 0.406029 0.420151 0.434515 0.449121 0.463967 0.479055 0.494385 
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2.77296e-15 0.000131567 0.000526467 0.0011847 0.00210626 0.00329116 0.00473938 0.00645094 0.00842582 0.010664 0.0131656 0.0159304 0.0189586 0.0222502 0.025805 0.0296232 0.0337047 0.0380495 0.0426576 0.0475291 0.0526638 0.0580619 0.0637233 0.0696481 0.0758361 0.0822875 0.0890021 0.0959801 0.103221 0.110726 0.118494 0.126525 0.13482 0.143377 0.152199 0.161283 0.170631 0.180242 0.190117 0.200255 0.210656 0.221321 0.232249 0.243441 0.254896 0.266615 0.278597 0.290842 0.303351 0.316123 0.329159 0.342458 0.35602 0.369845 0.383934 0.398287 0.412902 0.427781 0.442923 0.458329 0.473998 0.48993 0.506126 0.522584 0.539307 
6.45838e-15 0.000137232 0.000549122 0.00123567 0.00219687 0.00343273 0.00494325 0.00672842 0.00878824 0.0111227 0.0137318 0.0166156 0.0197741 0.0232072 0.0269149 0.0308973 0.0351543 0.039686 0.0444923 0.0495733 0.0549289 0.0605592 0.0664641 0.0726436 0.0790978 0.0858267 0.0928301 0.100108 0.107661 0.115488 0.12359 0.131967 0.140618 0.149544 0.158745 0.16822 0.17797 0.187995 0.198294 0.208868 0.219717 0.230841 0.242239 0.253912 0.26586 0.278082 0.290579 0.303351 0.316398 0.329719 0.343315 0.357186 0.371332 0.385752 0.400446 0.415416 0.43066 0.446179 0.461972 0.47804 0.494383 0.511 0.527892 0.545059 0.5625 
1.32967e-15 0.000143017 0.000572255 0.00128771 0.00228939 0.00357729 0.00515141 0.00701174 0.0091583 0.0115911 0.0143101 0.0173153 0.0206067 0.0241843 0.0280482 0.0321982 0.0366345 0.041357 0.0463657 0.0516606 0.0572417 0.063109 0.0692625 0.0757023 0.0824282 0.0894404 0.0967387 0.104323 0.112194 0.120351 0.128794 0.137524 0.146539 0.155841 0.165429 0.175303 0.185464 0.195911 0.206644 0.217663 0.228969 0.24056 0.252439 0.264603 0.277054 0.289791 0.302814 0.316124 0.32972 0.343602 0.35777 0.372225 0.386966 0.401993 0.417306 0.432906 0.448791 0.464963 0.481422 0.498166 0.515197 0.532514 0.550117 0.568006 0.586182 
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4.0289e-15 0.000154946 0.000619955 0.00139503 0.00248016 0.00387536 0.00558061 0.00759593 0.0099213 0.0125567 0.0155022 0.0187578 0.0223234 0.0261991 0.0303848 0.0348806 0.0396864 0.0448023 0.0502283 0.0559643 0.0620103 0.0683664 0.0750326 0.0820088 0.0892951 0.0968914 0.104798 0.113014 0.121541 0.130377 0.139524 0.14898 0.158747 0.168824 0.179211 0.189908 0.200915 0.212232 0.223859 0.235796 0.248044 0.260601 0.273469 0.286646 0.300134 0.313932 0.32804 0.342459 0.357187 0.372225 0.387574 0.403232 0.419201 0.435479 0.452068 0.468967 0.486176 0.503695 0.521524 0.539663 0.558112 0.576872 0.595941 0.61532 0.63501 
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-1.20034e-14 0.000167354 0.000669566 0.00150664 0.00267857 0.00418535 0.00602699 0.00820349 0.0107148 0.0135611 0.0167421 0.020258 0.0241088 0.0282944 0.0328149 0.0376703 0.0428605 0.0483855 0.0542454 0.0604401 0.0669697 0.0738342 0.0810335 0.0885676 0.0964366 0.10464 0.113179 0.122053 0.131261 0.140804 0.150682 0.160895 0.171443 0.182326 0.193544 0.205096 0.216983 0.229205 0.241763 0.254655 0.267881 0.281443 0.29534 0.309571 0.324138 0.339039 0.354275 0.369846 0.385752 0.401993 0.418569 0.43548 0.452725 0.470306 0.488221 0.506471 0.525056 0.543976 0.563231 0.58282 0.602745 0.623004 0.643598 0.664527 0.685791 
-3.29511e-14 0.000173737 0.000695088 0.00156405 0.00278063 0.00434482 0.00625663 0.00851604 0.0111231 0.0140777 0.01738 0.0210298 0.0250273 0.0293724 0.0340651 0.0391054 0.0444933 0.0502288 0.0563119 0.0627426 0.069521 0.0766469 0.0841205 0.0919416 0.10011 0.108627 0.117491 0.126702 0.136262 0.146168 0.156423 0.167025 0.177974 0.189272 0.200917 0.212909 0.225249 0.237937 0.250973 0.264356 0.278086 0.292165 0.306591 0.321364 0.336486 0.351955 0.367771 0.383935 0.400447 0.417307 0.434514 0.452069 0.469971 0.488221 0.506819 0.525764 0.545057 0.564697 0.584685 0.605021 0.625704 0.646735 0.668114 0.68984 0.711914 
-1.99233e-15 0.00018024 0.000721088 0.00162254 0.00288461 0.00450728 0.00649055 0.00883443 0.0115389 0.014604 0.0180297 0.021816 0.0259629 0.0304704 0.0353385 0.0405673 0.0461566 0.0521065 0.058417 0.0650882 0.0721199 0.0795122 0.0872652 0.0953787 0.103853 0.112688 0.121883 0.131439 0.141355 0.151633 0.16227 0.173269 0.184628 0.196347 0.208428 0.220868 0.23367 0.246832 0.260355 0.274238 0.288482 0.303087 0.318052 0.333378 0.349064 0.365111 0.381519 0.398287 0.415417 0.432906 0.450756 0.468967 0.487539 0.506471 0.525764 0.545417 0.565431 0.585806 0.606541 0.627637 0.649093 0.670911 0.693088 0.715626 0.738525 
-4.0595e-13 0.000186863 0.000747565 0.00168211 0.00299049 0.00467271 0.00672877 0.00915867 0.0119624 0.01514 0.0186914 0.0226166 0.0269157 0.0315887 0.0366354 0.042056 0.0478504 0.0540187 0.0605608 0.0674768 0.0747665 0.0824301 0.0904676 0.0988789 0.107664 0.116823 0.126356 0.136262 0.146543 0.157197 0.168225 0.179627 0.191403 0.203553 0.216076 0.228974 0.242245 0.25589 0.269909 0.284302 0.299068 0.314209 0.329723 0.345611 0.361874 0.378509 0.395519 0.412903 0.430661 0.448792 0.467297 0.486176 0.505429 0.525056 0.545057 0.565431 0.58618 0.607302 0.628798 0.650668 0.672912 0.695529 0.718521 0.741886 0.765625 
-6.0698e-15 0.000193604 0.00077452 0.00174275 0.00309828 0.00484113 0.00697128 0.00948875 0.0123935 0.0156856 0.019365 0.0234317 0.0278857 0.032727 0.0379556 0.0435716 0.0495748 0.0559654 0.0627432 0.0699084 0.0774608 0.0854006 0.0937277 0.102442 0.111544 0.121033 0.130909 0.141173 0.151824 0.162862 0.174287 0.1861 0.1983 0.210888 0.223863 0.237225 0.250974 0.265111 0.279635 0.294547 0.309845 0.325531 0.341605 0.358066 0.374914 0.392149 0.409772 0.427782 0.446179 0.464964 0.484136 0.503695 0.523642 0.543976 0.564697 0.585806 0.607302 0.629185 0.651456 0.674114 0.697159 0.720591 0.744411 0.768618 0.793213 
9.76684e-14 0.000200466 0.000801951 0.00180446 0.00320798 0.00501253 0.00721809 0.00982467 0.0128323 0.0162409 0.0200505 0.0242612 0.0288729 0.0338855 0.0392992 0.045114 0.0513297 0.0579465 0.0649642 0.072383 0.0802028 0.0884237 0.0970455 0.106068 0.115492 0.125317 0.135543 0.14617 0.157198 0.168627 0.180457 0.192688 0.20532 0.218353 0.231787 0.245622 0.259858 0.274495 0.289534 0.304973 0.320813 0.337054 0.353697 0.37074 0.388185 0.40603 0.424276 0.442924 0.461973 0.481422 0.501273 0.521524 0.542177 0.563231 0.584685 0.606541 0.628798 0.651456 0.674515 0.697974 0.721835 0.746097 0.77076 0.795824 0.821289 
-1.42698e-14 0.000207447 0.00082986 0.00186724 0.00331959 0.0051869 0.00746919 0.0101664 0.0132786 0.0168058 0.020748 0.0251051 0.0298772 0.0350642 0.0406662 0.0466832 0.0531151 0.059962 0.0672239 0.0749007 0.0829925 0.0914993 0.100421 0.109758 0.119509 0.129676 0.140258 0.151254 0.162666 0.174492 0.186734 0.19939 0.212461 0.225948 0.239849 0.254165 0.268897 0.284043 0.299604 0.31558 0.331972 0.348778 0.365999 0.383635 0.401686 0.420152 0.439033 0.458329 0.47804 0.498166 0.518707 0.539663 0.561034 0.58282 0.605021 0.627637 0.650668 0.674114 0.697974 0.72225 0.746941 0.772047 0.797567 0.823503 0.849854 
9.65512e-14 0.000214547 0.000858247 0.0019311 0.00343311 0.00536427 0.00772458 0.010514 0.0137327 0.0173804 0.0214573 0.0259634 0.0308986 0.036263 0.0420566 0.0482792 0.0549311 0.062012 0.0695222 0.0774615 0.0858299 0.0946275 0.103854 0.11351 0.123595 0.134109 0.145053 0.156425 0.168227 0.180458 0.193118 0.206207 0.219725 0.233672 0.248049 0.262855 0.27809 0.293754 0.309847 0.326369 0.343321 0.360702 0.378511 0.39675 0.415419 0.434516 0.454043 0.473998 0.494383 0.515197 0.53644 0.558113 0.580214 0.602745 0.625705 0.649094 0.672912 0.697159 0.721835 0.746941 0.772476 0.79844 0.824833 0.851655 0.878906 
-6.1201e-15 0.000221766 0.00088711 0.00199603 0.00354853 0.00554461 0.00798426 0.0108675 0.0141943 0.0179647 0.0221786 0.0268362 0.0319373 0.037482 0.0434703 0.0499021 0.0567775 0.0640965 0.0718591 0.0800652 0.088715 0.0978083 0.107345 0.117326 0.12775 0.138617 0.149928 0.161683 0.173882 0.186523 0.199609 0.213138 0.227111 0.241527 0.256387 0.27169 0.287437 0.303628 0.320262 0.337339 0.354861 0.372826 0.391234 0.410086 0.429382 0.449121 0.469304 0.48993 0.511 0.532514 0.554471 0.576872 0.599716 0.623004 0.646736 0.670911 0.695529 0.720591 0.746097 0.772047 0.79844 0.825276 0.852556 0.88028 0.908447 
-2.25514e-17 0.000229105 0.000916451 0.00206204 0.00366586 0.00572793 0.00824824 0.0112268 0.0146636 0.0185586 0.0229119 0.0277234 0.0329931 0.0387211 0.0449073 0.0515518 0.0586545 0.0662154 0.0742346 0.082712 0.0916477 0.101042 0.110894 0.121204 0.131973 0.1432 0.154885 0.167028 0.17963 0.192689 0.206208 0.220184 0.234618 0.249511 0.264862 0.280671 0.296939 0.313665 0.330849 0.348491 0.366591 0.38515 0.404167 0.423642 0.443576 0.463968 0.484818 0.506126 0.527892 0.550117 0.5728 0.595941 0.61954 0.643598 0.668114 0.693088 0.718521 0.744411 0.77076 0.797567 0.824833 0.852556 0.880738 0.909378 0.938477 
-0 0.000236563 0.000946268 0.00212911 0.0037851 0.00591423 0.0085165 0.0115919 0.0151405 0.0191622 0.023657 0.028625 0.0340661 0.0399804 0.0463678 0.0532283 0.060562 0.0683688 0.0766488 0.0854019 0.0946281 0.104328 0.1145 0.125146 0.136265 0.147856 0.159922 0.17246 0.185471 0.198956 0.212913 0.227344 0.242248 0.257625 0.273475 0.289799 0.306595 0.323865 0.341608 0.359824 0.378513 0.397675 0.41731 0.437419 0.458001 0.479055 0.500583 0.522585 0.545059 0.568006 0.591427 0.61532 0.639687 0.664527 0.68984 0.715627 0.741886 0.768618 0.795824 0.823503 0.851655 0.88028 0.909378 0.93895 0.968994 
0 0.000244141 0.000976563 0.00219727 0.00390625 0.00610352 0.00878906 0.0119629 0.015625 0.0197754 0.0244141 0.029541 0.0351563 0.0412598 0.0478516 0.0549316 0.0625 0.0705566 0.0791016 0.0881348 0.0976562 0.107666 0.118164 0.12915 0.140625 0.152588 0.165039 0.177979 0.191406 0.205322 0.219727 0.234619 0.25 0.265869 0.282227 0.299072 0.316406 0.334229 0.352539 0.371338 0.390625 0.4104 0.430664 0.451416 0.472656 0.494385 0.516602 0.539307 0.5625 0.586182 0.610352 0.63501 0.660156 0.685791 0.711914 0.738525 0.765625 0.793213 0.821289 0.849854 0.878906 0.908447 0.938477 0.968994 1 
];
exact = [
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 5.96046e-08 2.38419e-07 5.36442e-07 9.53674e-07 1.49012e-06 2.14577e-06 2.92063e-06 3.8147e-06 4.82798e-06 5.96046e-06 7.21216e-06 8.58307e-06 1.00732e-05 1.16825e-05 1.3411e-05 1.52588e-05 1.72257e-05 1.93119e-05 2.15173e-05 2.38419e-05 2.62856e-05 2.88486e-05 3.15309e-05 3.43323e-05 3.72529e-05 4.02927e-05 4.34518e-05 4.673e-05 5.01275e-05 5.36442e-05 5.72801e-05 6.10352e-05 6.49095e-05 6.8903e-05 7.30157e-05 7.72476e-05 8.15988e-05 8.60691e-05 9.06587e-05 9.53674e-05 0.000100195 0.000105143 0.000110209 0.000115395 0.000120699 0.000126123 0.000131667 0.000137329 0.000143111 0.000149012 0.000155032 0.000161171 0.000167429 0.000173807 0.000180304 0.00018692 0.000193655 0.00020051 0.000207484 0.000214577 0.000221789 0.00022912 0.000236571 0.000244141 
0 2.38419e-07 9.53674e-07 2.14577e-06 3.8147e-06 5.96046e-06 8.58307e-06 1.16825e-05 1.52588e-05 1.93119e-05 2.38419e-05 2.88486e-05 3.43323e-05 4.02927e-05 4.673e-05 5.36442e-05 6.10352e-05 6.8903e-05 7.72476e-05 8.60691e-05 9.53674e-05 0.000105143 0.000115395 0.000126123 0.000137329 0.000149012 0.000161171 0.000173807 0.00018692 0.00020051 0.000214577 0.00022912 0.000244141 0.000259638 0.000275612 0.000292063 0.00030899 0.000326395 0.000344276 0.000362635 0.00038147 0.000400782 0.00042057 0.000440836 0.000461578 0.000482798 0.000504494 0.000526667 0.000549316 0.000572443 0.000596046 0.000620127 0.000644684 0.000669718 0.000695229 0.000721216 0.000747681 0.000774622 0.00080204 0.000829935 0.000858307 0.000887156 0.000916481 0.000946283 0.000976562 
0 5.36442e-07 2.14577e-06 4.82798e-06 8.58307e-06 1.3411e-05 1.93119e-05 2.62856e-05 3.43323e-05 4.34518e-05 5.36442e-05 6.49095e-05 7.72476e-05 9.06587e-05 0.000105143 0.000120699 0.000137329 0.000155032 0.000173807 0.000193655 0.000214577 0.000236571 0.000259638 0.000283778 0.00030899 0.000335276 0.000362635 0.000391066 0.00042057 0.000451148 0.000482798 0.000515521 0.000549316 0.000584185 0.000620127 0.000657141 0.000695229 0.000734389 0.000774622 0.000815928 0.000858307 0.000901759 0.000946283 0.000991881 0.00103855 0.00108629 0.00113511 0.001185 0.00123596 0.001288 0.0013411 0.00139529 0.00145054 0.00150687 0.00156426 0.00162274 0.00168228 0.0017429 0.00180459 0.00186735 0.00193119 0.0019961 0.00206208 0.00212914 0.00219727 
0 9.53674e-07 3.8147e-06 8.58307e-06 1.52588e-05 2.38419e-05 3.43323e-05 4.673e-05 6.10352e-05 7.72476e-05 9.53674e-05 0.000115395 0.000137329 0.000161171 0.00018692 0.000214577 0.000244141 0.000275612 0.00030899 0.000344276 0.00038147 0.00042057 0.000461578 0.000504494 0.000549316 0.000596046 0.000644684 0.000695229 0.000747681 0.00080204 0.000858307 0.000916481 0.000976562 0.00103855 0.00110245 0.00116825 0.00123596 0.00130558 0.00137711 0.00145054 0.00152588 0.00160313 0.00168228 0.00176334 0.00184631 0.00193119 0.00201797 0.00210667 0.00219727 0.00228977 0.00238419 0.00248051 0.00257874 0.00267887 0.00278091 0.00288486 0.00299072 0.00309849 0.00320816 0.00331974 0.00343323 0.00354862 0.00366592 0.00378513 0.00390625 
0 1.49012e-06 5.96046e-06 1.3411e-05 2.38419e-05 3.72529e-05 5.36442e-05 7.30157e-05 9.53674e-05 0.000120699 0.000149012 0.000180304 0.000214577 0.00025183 0.000292063 0.000335276 0.00038147 0.000430644 0.000482798 0.000537932 0.000596046 0.000657141 0.000721216 0.000788271 0.000858307 0.000931323 0.00100732 0.00108629 0.00116825 0.00125319 0.0013411 0.001432 0.00152588 0.00162274 0.00172257 0.00182539 0.00193119 0.00203997 0.00215173 0.00226647 0.00238419 0.00250489 0.00262856 0.00275522 0.00288486 0.00301749 0.00315309 0.00329167 0.00343323 0.00357777 0.00372529 0.00387579 0.00402927 0.00418574 0.00434518 0.0045076 0.004673 0.00484139 0.00501275 0.00518709 0.00536442 0.00554472 0.00572801 0.00591427 0.00610352 
0 2.14577e-06 8.58307e-06 1.93119e-05 3.43323e-05 5.36442e-05 7.72476e-05 0.000105143 0.000137329 0.000173807 0.000214577 0.000259638 0.00030899 0.000362635 0.00042057 0.000482798 0.000549316 0.000620127 0.000695229 0.000774622 0.000858307 0.000946283 0.00103855 0.00113511 0.00123596 0.0013411 0.00145054 0.00156426 0.00168228 0.00180459 0.00193119 0.00206208 0.00219727 0.00233674 0.00248051 0.00262856 0.00278091 0.00293756 0.00309849 0.00326371 0.00343323 0.00360703 0.00378513 0.00396752 0.00415421 0.00434518 0.00454044 0.00474 0.00494385 0.00515199 0.00536442 0.00558114 0.00580215 0.00602746 0.00625706 0.00649095 0.00672913 0.0069716 0.00721836 0.00746942 0.00772476 0.0079844 0.00824833 0.00851655 0.00878906 
0 2.92063e-06 1.16825e-05 2.62856e-05 4.673e-05 7.30157e-05 0.000105143 0.000143111 0.00018692 0.000236571 0.000292063 0.000353396 0.00042057 0.000493586 0.000572443 0.000657141 0.000747681 0.000844061 0.000946283 0.00105435 0.00116825 0.001288 0.00141358 0.00154501 0.00168228 0.00182539 0.00197434 0.00212914 0.00228977 0.00245625 0.00262856 0.00280672 0.00299072 0.00318056 0.00337625 0.00357777 0.00378513 0.00399834 0.00421739 0.00444227 0.004673 0.00490957 0.00515199 0.00540024 0.00565434 0.00591427 0.00618005 0.00645167 0.00672913 0.00701243 0.00730157 0.00759655 0.00789738 0.00820404 0.00851655 0.0088349 0.00915909 0.00948912 0.00982499 0.0101667 0.0105143 0.0108677 0.0112269 0.011592 0.0119629 
0 3.8147e-06 1.52588e-05 3.43323e-05 6.10352e-05 9.53674e-05 0.000137329 0.00018692 0.000244141 0.00030899 0.00038147 0.000461578 0.000549316 0.000644684 0.000747681 0.000858307 0.000976562 0.00110245 0.00123596 0.00137711 0.00152588 0.00168228 0.00184631 0.00201797 0.00219727 0.00238419 0.00257874 0.00278091 0.00299072 0.00320816 0.00343323 0.00366592 0.00390625 0.00415421 0.00440979 0.004673 0.00494385 0.00522232 0.00550842 0.00580215 0.00610352 0.00641251 0.00672913 0.00705338 0.00738525 0.00772476 0.0080719 0.00842667 0.00878906 0.00915909 0.00953674 0.00992203 0.0103149 0.0107155 0.0111237 0.0115395 0.0119629 0.012394 0.0128326 0.013279 0.0137329 0.0141945 0.0146637 0.0151405 0.015625 
0 4.82798e-06 1.93119e-05 4.34518e-05 7.72476e-05 0.000120699 0.000173807 0.000236571 0.00030899 0.000391066 0.000482798 0.000584185 0.000695229 0.000815928 0.000946283 0.00108629 0.00123596 0.00139529 0.00156426 0.0017429 0.00193119 0.00212914 0.00233674 0.002554 0.00278091 0.00301749 0.00326371 0.00351959 0.00378513 0.00406033 0.00434518 0.00463969 0.00494385 0.00525767 0.00558114 0.00591427 0.00625706 0.0066095 0.0069716 0.00734335 0.00772476 0.00811583 0.00851655 0.00892693 0.00934696 0.00977665 0.010216 0.010665 0.0111237 0.011592 0.0120699 0.0125576 0.0130548 0.0135618 0.0140784 0.0146046 0.0151405 0.0156861 0.0162413 0.0168062 0.0173807 0.0179649 0.0185587 0.0191622 0.0197754 
0 5.96046e-06 2.38419e-05 5.36442e-05 9.53674e-05 0.000149012 0.000214577 0.000292063 0.00038147 0.000482798 0.000596046 0.000721216 0.000858307 0.00100732 0.00116825 0.0013411 0.00152588 0.00172257 0.00193119 0.00215173 0.00238419 0.00262856 0.00288486 0.00315309 0.00343323 0.00372529 0.00402927 0.00434518 0.004673 0.00501275 0.00536442 0.00572801 0.00610352 0.00649095 0.0068903 0.00730157 0.00772476 0.00815988 0.00860691 0.00906587 0.00953674 0.0100195 0.0105143 0.0110209 0.0115395 0.0120699 0.0126123 0.0131667 0.0137329 0.0143111 0.0149012 0.0155032 0.0161171 0.0167429 0.0173807 0.0180304 0.018692 0.0193655 0.020051 0.0207484 0.0214577 0.0221789 0.022912 0.0236571 0.0244141 
0 7.21216e-06 2.88486e-05 6.49095e-05 0.000115395 0.000180304 0.000259638 0.000353396 0.000461578 0.000584185 0.000721216 0.000872672 0.00103855 0.00121886 0.00141358 0.00162274 0.00184631 0.00208431 0.00233674 0.00260359 0.00288486 0.00318056 0.00349069 0.00381523 0.00415421 0.0045076 0.00487542 0.00525767 0.00565434 0.00606543 0.00649095 0.00693089 0.00738525 0.00785404 0.00833726 0.0088349 0.00934696 0.00987345 0.0104144 0.0109697 0.0115395 0.0121236 0.0127223 0.0133353 0.0139627 0.0146046 0.0152609 0.0159317 0.0166168 0.0173164 0.0180304 0.0187588 0.0195017 0.020259 0.0210307 0.0218168 0.0226173 0.0234323 0.0242617 0.0251055 0.0259638 0.0268365 0.0277236 0.0286251 0.029541 
0 8.58307e-06 3.43323e-05 7.72476e-05 0.000137329 0.000214577 0.00030899 0.00042057 0.000549316 0.000695229 0.000858307 0.00103855 0.00123596 0.00145054 0.00168228 0.00193119 0.00219727 0.00248051 0.00278091 0.00309849 0.00343323 0.00378513 0.00415421 0.00454044 0.00494385 0.00536442 0.00580215 0.00625706 0.00672913 0.00721836 0.00772476 0.00824833 0.00878906 0.00934696 0.00992203 0.0105143 0.0111237 0.0117502 0.012394 0.0130548 0.0137329 0.0144281 0.0151405 0.0158701 0.0166168 0.0173807 0.0181618 0.01896 0.0197754 0.0206079 0.0214577 0.0223246 0.0232086 0.0241098 0.0250282 0.0259638 0.0269165 0.0278864 0.0288734 0.0298777 0.030899 0.0319376 0.0329933 0.0340662 0.0351562 
0 1.00732e-05 4.02927e-05 9.06587e-05 0.000161171 0.00025183 0.000362635 0.000493586 0.000644684 0.000815928 0.00100732 0.00121886 0.00145054 0.00170237 0.00197434 0.00226647 0.00257874 0.00291115 0.00326371 0.00363642 0.00402927 0.00444227 0.00487542 0.00532871 0.00580215 0.00629574 0.00680947 0.00734335 0.00789738 0.00847155 0.00906587 0.00968033 0.0103149 0.0109697 0.0116446 0.0123397 0.0130548 0.0137902 0.0145457 0.0153213 0.0161171 0.016933 0.0177691 0.0186253 0.0195017 0.0203982 0.0213149 0.0222517 0.0232086 0.0241857 0.025183 0.0262004 0.0272379 0.0282956 0.0293734 0.0304714 0.0315895 0.0327278 0.0338862 0.0350648 0.0362635 0.0374823 0.0387213 0.0399805 0.0412598 
0 1.16825e-05 4.673e-05 0.000105143 0.00018692 0.000292063 0.00042057 0.000572443 0.000747681 0.000946283 0.00116825 0.00141358 0.00168228 0.00197434 0.00228977 0.00262856 0.00299072 0.00337625 0.00378513 0.00421739 0.004673 0.00515199 0.00565434 0.00618005 0.00672913 0.00730157 0.00789738 0.00851655 0.00915909 0.00982499 0.0105143 0.0112269 0.0119629 0.0127223 0.013505 0.0143111 0.0151405 0.0159934 0.0168695 0.0177691 0.018692 0.0196383 0.0206079 0.021601 0.0226173 0.0236571 0.0247202 0.0258067 0.0269165 0.0280497 0.0292063 0.0303862 0.0315895 0.0328162 0.0340662 0.0353396 0.0366364 0.0379565 0.0393 0.0406668 0.042057 0.0434706 0.0449076 0.0463679 0.0478516 
0 1.3411e-05 5.36442e-05 0.000120699 0.000214577 0.000335276 0.000482798 0.000657141 0.000858307 0.00108629 0.0013411 0.00162274 0.00193119 0.00226647 0.00262856 0.00301749 0.00343323 0.00387579 0.00434518 0.00484139 0.00536442 0.00591427 0.00649095 0.00709444 0.00772476 0.0083819 0.00906587 0.00977665 0.0105143 0 0 0 0 0 0 0 0 0 0 0.0203982 0.0214577 0.022544 0.0236571 0.024797 0.0259638 0.0271574 0.0283778 0.029625 0.030899 0.0321999 0.0335276 0.0348821 0.0362635 0.0376716 0.0391066 0.0405684 0.042057 0.0435725 0.0451148 0.0466838 0.0482798 0.0499025 0.0515521 0.0532284 0.0549316 
0 1.52588e-05 6.10352e-05 0.000137329 0.000244141 0.00038147 0.000549316 0.000747681 0.000976562 0.00123596 0.00152588 0.00184631 0.00219727 0.00257874 0.00299072 0.00343323 0.00390625 0.00440979 0.00494385 0.00550842 0.00610352 0.00672913 0.00738525 0.0080719 0.00878906 0.00953674 0.0103149 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.02565 0.0269165 0.0282135 0.029541 0.030899 0.0322876 0.0337067 0.0351562 0.0366364 0.038147 0.0396881 0.0412598 0.0428619 0.0444946 0.0461578 0.0478516 0.0495758 0.0513306 0.0531158 0.0549316 0.056778 0.0586548 0.0605621 0.0625 
0 1.72257e-05 6.8903e-05 0.000155032 0.000275612 0.000430644 0.000620127 0.000844061 0.00110245 0.00139529 0.00172257 0.00208431 0.00248051 0.00291115 0.00337625 0.00387579 0.00440979 0.00497824 0.00558114 0.00621849 0.0068903 0.00759655 0.00833726 0.00911242 0.00992203 0.0107661 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0303862 0.0318504 0.033349 0.0348821 0.0364497 0.0380517 0.0396881 0.041359 0.0430644 0.0448042 0.0465784 0.0483871 0.0502303 0.0521079 0.0540199 0.0559664 0.0579474 0.0599628 0.0620127 0.064097 0.0662158 0.068369 0.0705566 
0 1.93119e-05 7.72476e-05 0.000173807 0.00030899 0.000482798 0.000695229 0.000946283 0.00123596 0.00156426 0.00193119 0.00233674 0.00278091 0.00326371 0.00378513 0.00434518 0.00494385 0.00558114 0.00625706 0.0069716 0.00772476 0.00851655 0.00934696 0.010216 0.0111237 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0357077 0.0373878 0.0391066 0.040864 0.04266 0.0444946 0.0463679 0.0482798 0.0502303 0.0522194 0.0542471 0.0563135 0.0584185 0.0605621 0.0627444 0.0649652 0.0672247 0.0695229 0.0718596 0.074235 0.076649 0.0791016 
0 2.15173e-05 8.60691e-05 0.000193655 0.000344276 0.000537932 0.000774622 0.00105435 0.00137711 0.0017429 0.00215173 0.00260359 0.00309849 0.00363642 0.00421739 0.00484139 0.00550842 0.00621849 0.0069716 0.00776774 0.00860691 0.00948912 0.0104144 0.0113826 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0416574 0.0435725 0.0455306 0.0475317 0.0495758 0.051663 0.0537932 0.0559664 0.0581827 0.060442 0.0627444 0.0650898 0.0674782 0.0699096 0.0723841 0.0749016 0.0774622 0.0800658 0.0827124 0.0854021 0.0881348 
0 2.38419e-05 9.53674e-05 0.000214577 0.00038147 0.000596046 0.000858307 0.00116825 0.00152588 0.00193119 0.00238419 0.00288486 0.00343323 0.00402927 0.004673 0.00536442 0.00610352 0.0068903 0.00772476 0.00860691 0.00953674 0.0105143 0.0115395 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0482798 0.0504494 0.0526667 0.0549316 0.0572443 0.0596046 0.0620127 0.0644684 0.0669718 0.0695229 0.0721216 0.0747681 0.0774622 0.080204 0.0829935 0.0858307 0.0887156 0.0916481 0.0946283 0.0976562 
0 2.62856e-05 0.000105143 0.000236571 0.00042057 0.000657141 0.000946283 0.001288 0.00168228 0.00212914 0.00262856 0.00318056 0.00378513 0.00444227 0.00515199 0.00591427 0.00672913 0.00759655 0.00851655 0.00948912 0.0105143 0.011592 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0532284 0.0556204 0.058065 0.0605621 0.0631118 0.0657141 0.068369 0.0710764 0.0738364 0.076649 0.0795141 0.0824318 0.0854021 0.0884249 0.0915003 0.0946283 0.0978089 0.101042 0.104328 0.107666 
0 2.88486e-05 0.000115395 0.000259638 0.000461578 0.000721216 0.00103855 0.00141358 0.00184631 0.00233674 0.00288486 0.00349069 0.00415421 0.00487542 0.00565434 0.00649095 0.00738525 0.00833726 0.00934696 0.0104144 0.0115395 0.0127223 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0610437 0.0637267 0.0664673 0.0692656 0.0721216 0.0750353 0.0780067 0.0810359 0.0841227 0.0872672 0.0904694 0.0937293 0.0970469 0.100422 0.103855 0.107346 0.110894 0.1145 0.118164 
0 3.15309e-05 0.000126123 0.000283778 0.000504494 0.000788271 0.00113511 0.00154501 0.00201797 0.002554 0.00315309 0.00381523 0.00454044 0.00532871 0.00618005 0.00709444 0.0080719 0.00911242 0.010216 0.0113826 0.0126123 0.0139051 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0667193 0.0696517 0.0726471 0.0757056 0.0788271 0.0820118 0.0852594 0.0885702 0.091944 0.0953808 0.0988808 0.102444 0.10607 0.109759 0.113511 0.117326 0.121205 0.125146 0.12915 
0 3.43323e-05 0.000137329 0.00030899 0.000549316 0.000858307 0.00123596 0.00168228 0.00219727 0.00278091 0.00343323 0.00415421 0.00494385 0.00580215 0.00672913 0.00772476 0.00878906 0.00992203 0.0111237 0.012394 0.0137329 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0726471 0.07584 0.0791016 0.0824318 0.0858307 0.0892982 0.0928345 0.0964394 0.100113 0.103855 0.107666 0.111546 0.115494 0.119511 0.123596 0.12775 0.131973 0.136265 0.140625 
0 3.72529e-05 0.000149012 0.000335276 0.000596046 0.000931323 0.0013411 0.00182539 0.00238419 0.00301749 0.00372529 0.0045076 0.00536442 0.00629574 0.00730157 0.0083819 0.00953674 0.0107661 0.0120699 0.0134483 0.0149012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0788271 0.0822917 0.0858307 0.0894442 0.0931323 0.0968948 0.100732 0.104643 0.108629 0.11269 0.116825 0.121035 0.125319 0.129677 0.13411 0.138618 0.1432 0.147857 0.152588 
0 4.02927e-05 0.000161171 0.000362635 0.000644684 0.00100732 0.00145054 0.00197434 0.00257874 0.00326371 0.00402927 0.00487542 0.00580215 0.00680947 0.00789738 0.00906587 0.0103149 0.0116446 0.0130548 0.0145457 0.0161171 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0890067 0.0928345 0.0967429 0.100732 0.104801 0.108952 0.113182 0.117494 0.121886 0.126358 0.130911 0.135545 0.140259 0.145054 0.149929 0.154885 0.159922 0.165039 
0 4.34518e-05 0.000173807 0.000391066 0.000695229 0.00108629 0.00156426 0.00212914 0.00278091 0.00351959 0.00434518 0.00525767 0.00625706 0.00734335 0.00851655 0.00977665 0.0111237 0.0125576 0.0140784 0.0156861 0.0173807 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.095985 0.100113 0.104328 0.108629 0.113018 0.117494 0.122056 0.126705 0.131442 0.136265 0.141175 0.146172 0.151256 0.156426 0.161684 0.167029 0.17246 0.177979 
0 4.673e-05 0.00018692 0.00042057 0.000747681 0.00116825 0.00168228 0.00228977 0.00299072 0.00378513 0.004673 0.00565434 0.00672913 0.00789738 0.00915909 0.0105143 0.0119629 0.013505 0.0151405 0.0168695 0.018692 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.103227 0.107666 0.112199 0.116825 0.121545 0.126358 0.131265 0.136265 0.141358 0.146545 0.151826 0.1572 0.162667 0.168228 0.173882 0.17963 0.185472 0.191406 
0 5.01275e-05 0.00020051 0.000451148 0.00080204 0.00125319 0.00180459 0.00245625 0.00320816 0.00406033 0.00501275 0.00606543 0.00721836 0.00847155 0.00982499 0.0112787 0.0128326 0.0144868 0.0162413 0.018096 0.020051 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.10607 0.110732 0.115494 0.120356 0.125319 0.130382 0.135545 0.140808 0.146172 0.151636 0.1572 0.162864 0.168629 0.174494 0.180459 0.186524 0.19269 0.198956 0.205322 
0 5.36442e-05 0.000214577 0.000482798 0.000858307 0.0013411 0.00193119 0.00262856 0.00343323 0.00434518 0.00536442 0.00649095 0.00772476 0.00906587 0.0105143 0.0120699 0.0137329 0.0155032 0.0173807 0.0193655 0.0214577 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.113511 0.1185 0.123596 0.1288 0.13411 0.139529 0.145054 0.150687 0.156426 0.162274 0.168228 0.17429 0.180459 0.186735 0.193119 0.19961 0.206208 0.212914 0.219727 
0 5.72801e-05 0.00022912 0.000515521 0.000916481 0.001432 0.00206208 0.00280672 0.00366592 0.00463969 0.00572801 0.00693089 0.00824833 0.00968033 0.0112269 0.012888 0.0146637 0.0165539 0.0185587 0.0206781 0.022912 0.0252605 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.121205 0.126532 0.131973 0.137529 0.1432 0.148985 0.154885 0.1609 0.167029 0.173272 0.17963 0.186103 0.19269 0.199392 0.206208 0.213139 0.220185 0.227345 0.234619 
0 6.10352e-05 0.000244141 0.000549316 0.000976562 0.00152588 0.00219727 0.00299072 0.00390625 0.00494385 0.00610352 0.00738525 0.00878906 0.0103149 0.0119629 0.0137329 0.015625 0.0176392 0.0197754 0.0220337 0.0244141 0.0269165 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.12915 0.134827 0.140625 0.146545 0.152588 0.158752 0.165039 0.171448 0.177979 0.184631 0.191406 0.198303 0.205322 0.212463 0.219727 0.227112 0.234619 0.242249 0.25 
0 6.49095e-05 0.000259638 0.000584185 0.00103855 0.00162274 0.00233674 0.00318056 0.00415421 0.00525767 0.00649095 0.00785404 0.00934696 0.0109697 0.0127223 0.0146046 0.0166168 0.0187588 0.0210307 0.0234323 0.0259638 0.0286251 0.0314162 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.131442 0.137348 0.143385 0.149551 0.155848 0.162274 0.16883 0.175515 0.182331 0.189276 0.196351 0.203556 0.210891 0.218355 0.22595 0.233674 0.241528 0.249512 0.257626 0.265869 
0 6.8903e-05 0.000275612 0.000620127 0.00110245 0.00172257 0.00248051 0.00337625 0.00440979 0.00558114 0.0068903 0.00833726 0.00992203 0.0116446 0.013505 0.0155032 0.0176392 0.019913 0.0223246 0.024874 0.0275612 0.0303862 0.033349 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.133396 0.139529 0.145799 0.152207 0.158752 0.165436 0.172257 0.179217 0.186314 0.193548 0.200921 0.208431 0.21608 0.223866 0.23179 0.239851 0.248051 0.256388 0.264863 0.273476 0.282227 
0 7.30157e-05 0.000292063 0.000657141 0.00116825 0.00182539 0.00262856 0.00357777 0.004673 0.00591427 0.00730157 0.0088349 0.0105143 0.0123397 0.0143111 0.0164285 0.018692 0.0211015 0.0236571 0.0263587 0.0292063 0.0321999 0.0353396 0.0386253 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.141358 0.147857 0.154501 0.161292 0.168228 0.175311 0.182539 0.189914 0.197434 0.205101 0.212914 0.220872 0.228977 0.237228 0.245625 0.254168 0.262856 0.271691 0.280672 0.289799 0.299072 
0 7.72476e-05 0.00030899 0.000695229 0.00123596 0.00193119 0.00278091 0.00378513 0.00494385 0.00625706 0.00772476 0.00934696 0.0111237 0.0130548 0.0151405 0.0173807 0.0197754 0.0223246 0.0250282 0.0278864 0.030899 0.0340662 0.0373878 0.040864 0.0444946 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.142831 0.149551 0.156426 0.163456 0.17064 0.177979 0.185472 0.193119 0.200921 0.208878 0.216989 0.225254 0.233674 0.242249 0.250978 0.259861 0.268899 0.278091 0.287438 0.29694 0.306596 0.316406 
0 8.15988e-05 0.000326395 0.000734389 0.00130558 0.00203997 0.00293756 0.00399834 0.00522232 0.0066095 0.00815988 0.00987345 0.0117502 0.0137902 0.0159934 0.0183597 0.0208893 0.023582 0.026438 0.0294572 0.0326395 0.0359851 0.0394938 0.0431657 0.0470009 0.0509992 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.14394 0.150876 0.157975 0.165237 0.172663 0.180252 0.188004 0.195919 0.203997 0.212238 0.220643 0.229211 0.237942 0.246836 0.255894 0.265114 0.274498 0.284045 0.293756 0.303629 0.313666 0.323865 0.334229 
0 8.60691e-05 0.000344276 0.000774622 0.00137711 0.00215173 0.00309849 0.00421739 0.00550842 0.0069716 0.00860691 0.0104144 0.012394 0.0145457 0.0168695 0.0193655 0.0220337 0.024874 0.0278864 0.0310709 0.0344276 0.0379565 0.0416574 0.0455306 0.0495758 0.0537932 0.0581827 0 0 0 0 0 0 0 0 0 0 0 0 0 0.137711 0.144682 0.151826 0.159142 0.16663 0.17429 0.182122 0.190127 0.198303 0.206652 0.215173 0.223866 0.232731 0.241768 0.250978 0.260359 0.269913 0.279639 0.289536 0.299607 0.309849 0.320263 0.33085 0.341608 0.352539 
0 9.06587e-05 0.000362635 0.000815928 0.00145054 0.00226647 0.00326371 0.00444227 0.00580215 0.00734335 0.00906587 0.0109697 0.0130548 0.0153213 0.0177691 0.0203982 0.0232086 0.0262004 0.0293734 0.0327278 0.0362635 0.0399805 0.0438788 0.0479584 0.0522194 0.0566617 0.0612853 0.0660902 0.0710764 0.0762439 0 0 0 0 0 0 0 0 0.130911 0.137892 0.145054 0.152397 0.159922 0.167628 0.175515 0.183584 0.191834 0.200265 0.208878 0.217671 0.226647 0.235803 0.245141 0.25466 0.264361 0.274242 0.284306 0.29455 0.304976 0.315583 0.326371 0.337341 0.348492 0.359824 0.371338 
0 9.53674e-05 0.00038147 0.000858307 0.00152588 0.00238419 0.00343323 0.004673 0.00610352 0.00772476 0.00953674 0.0115395 0.0137329 0.0161171 0.018692 0.0214577 0.0244141 0.0275612 0.030899 0.0344276 0.038147 0.042057 0.0461578 0.0504494 0.0549316 0.0596046 0.0644684 0.0695229 0.0747681 0.080204 0.0858307 0.0916481 0.0976562 0.103855 0.110245 0.116825 0.123596 0.130558 0.137711 0.145054 0.152588 0.160313 0.168228 0.176334 0.184631 0.193119 0.201797 0.210667 0.219727 0.228977 0.238419 0.248051 0.257874 0.267887 0.278091 0.288486 0.299072 0.309849 0.320816 0.331974 0.343323 0.354862 0.366592 0.378513 0.390625 
0 0.000100195 0.000400782 0.000901759 0.00160313 0.00250489 0.00360703 0.00490957 0.00641251 0.00811583 0.0100195 0.0121236 0.0144281 0.016933 0.0196383 0.022544 0.02565 0.0289565 0.0324633 0.0361705 0.0400782 0.0441862 0.0484946 0.0530034 0.0577126 0.0626221 0.0677321 0.0730425 0.0785532 0.0842643 0.0901759 0.0962878 0.1026 0.109113 0.115826 0.122739 0.129853 0.137168 0.144682 0.152397 0.160313 0.168428 0.176745 0.185261 0.193978 0.202896 0.212013 0.221332 0.23085 0.240569 0.250489 0.260608 0.270928 0.281449 0.29217 0.303091 0.314213 0.325535 0.337057 0.34878 0.360703 0.372827 0.385151 0.397676 0.4104 
0 0.000105143 0.00042057 0.000946283 0.00168228 0.00262856 0.00378513 0.00515199 0.00672913 0.00851655 0.0105143 0.0127223 0.0151405 0.0177691 0.0206079 0.0236571 0.0269165 0.0303862 0.0340662 0.0379565 0.042057 0.0463679 0.050889 0.0556204 0.0605621 0.0657141 0.0710764 0.076649 0.0824318 0.0884249 0.0946283 0.101042 0.107666 0.1145 0.121545 0.1288 0.136265 0.14394 0.151826 0.159922 0.168228 0.176745 0.185472 0.194409 0.203556 0.212914 0.222482 0.23226 0.242249 0.252447 0.262856 0.273476 0.284306 0.295346 0.306596 0.318056 0.329727 0.341608 0.3537 0.366001 0.378513 0.391236 0.404168 0.417311 0.430664 
0 0.000110209 0.000440836 0.000991881 0.00176334 0.00275522 0.00396752 0.00540024 0.00705338 0.00892693 0.0110209 0.0133353 0.0158701 0.0186253 0.021601 0.024797 0.0282135 0.0318504 0.0357077 0.0397854 0.0440836 0.0486022 0.0533412 0.0583006 0.0634804 0.0688806 0.0745013 0.0803424 0.0864038 0.0926858 0.0991881 0.105911 0.112854 0.120018 0.127402 0.135006 0.142831 0.150876 0.159142 0.167628 0.176334 0.185261 0.194409 0.203776 0.213365 0.223173 0.233202 0.243452 0.253922 0.264612 0.275522 0.286654 0.298005 0.309577 0.321369 0.333382 0.345615 0.358069 0.370743 0.383637 0.396752 0.410088 0.423643 0.437419 0.451416 
0 0.000115395 0.000461578 0.00103855 0.00184631 0.00288486 0.00415421 0.00565434 0.00738525 0.00934696 0.0115395 0.0139627 0.0166168 0.0195017 0.0226173 0.0259638 0.029541 0.033349 0.0373878 0.0416574 0.0461578 0.050889 0.055851 0.0610437 0.0664673 0.0721216 0.0780067 0.0841227 0.0904694 0.0970469 0.103855 0.110894 0.118164 0.125665 0.133396 0.141358 0.149551 0.157975 0.16663 0.175515 0.184631 0.193978 0.203556 0.213365 0.223404 0.233674 0.244175 0.254907 0.265869 0.277062 0.288486 0.300141 0.312027 0.324143 0.336491 0.349069 0.361877 0.374917 0.388187 0.401689 0.415421 0.429383 0.443577 0.458001 0.472656 
0 0.000120699 0.000482798 0.00108629 0.00193119 0.00301749 0.00434518 0.00591427 0.00772476 0.00977665 0.0120699 0.0146046 0.0173807 0.0203982 0.0236571 0.0271574 0.030899 0.0348821 0.0391066 0.0435725 0.0482798 0.0532284 0.0584185 0.06385 0.0695229 0.0754371 0.0815928 0.0879899 0.0946283 0.101508 0.108629 0.115992 0.123596 0.131442 0.139529 0.147857 0.156426 0.165237 0.17429 0.183584 0.193119 0.202896 0.212914 0.223173 0.233674 0.244416 0.2554 0.266625 0.278091 0.289799 0.301749 0.313939 0.326371 0.339045 0.351959 0.365116 0.378513 0.392152 0.406033 0.420155 0.434518 0.449122 0.463969 0.479056 0.494385 
0 0.000126123 0.000504494 0.00113511 0.00201797 0.00315309 0.00454044 0.00618005 0.0080719 0.010216 0.0126123 0.0152609 0.0181618 0.0213149 0.0247202 0.0283778 0.0322876 0.0364497 0.040864 0.0455306 0.0504494 0.0556204 0.0610437 0.0667193 0.0726471 0.0788271 0.0852594 0.091944 0.0988808 0.10607 0.113511 0.121205 0.12915 0.137348 0.145799 0.154501 0.163456 0.172663 0.182122 0.191834 0.201797 0.212013 0.222482 0.233202 0.244175 0.2554 0.266877 0.278607 0.290588 0.302822 0.315309 0.328047 0.341038 0.354281 0.367776 0.381523 0.395523 0.409775 0.424279 0.439036 0.454044 0.469305 0.484818 0.500584 0.516602 
0 0.000131667 0.000526667 0.001185 0.00210667 0.00329167 0.00474 0.00645167 0.00842667 0.010665 0.0131667 0.0159317 0.01896 0.0222517 0.0258067 0.029625 0.0337067 0.0380517 0.04266 0.0475317 0.0526667 0.058065 0.0637267 0.0696517 0.07584 0.0822917 0.0890067 0.095985 0.103227 0.110732 0.1185 0.126532 0.134827 0.143385 0.152207 0.161292 0.17064 0.180252 0.190127 0.200265 0.210667 0.221332 0.23226 0.243452 0.254907 0.266625 0.278607 0.290852 0.30336 0.316132 0.329167 0.342465 0.356027 0.369852 0.38394 0.398292 0.412907 0.427785 0.442927 0.458332 0.474 0.489932 0.506127 0.522585 0.539307 
0 0.000137329 0.000549316 0.00123596 0.00219727 0.00343323 0.00494385 0.00672913 0.00878906 0.0111237 0.0137329 0.0166168 0.0197754 0.0232086 0.0269165 0.030899 0.0351562 0.0396881 0.0444946 0.0495758 0.0549316 0.0605621 0.0664673 0.0726471 0.0791016 0.0858307 0.0928345 0.100113 0.107666 0.115494 0.123596 0.131973 0.140625 0.149551 0.158752 0.168228 0.177979 0.188004 0.198303 0.208878 0.219727 0.23085 0.242249 0.253922 0.265869 0.278091 0.290588 0.30336 0.316406 0.329727 0.343323 0.357193 0.371338 0.385757 0.400452 0.415421 0.430664 0.446182 0.461975 0.478043 0.494385 0.511002 0.527893 0.545059 0.5625 
0 0.000143111 0.000572443 0.001288 0.00228977 0.00357777 0.00515199 0.00701243 0.00915909 0.011592 0.0143111 0.0173164 0.0206079 0.0241857 0.0280497 0.0321999 0.0366364 0.041359 0.0463679 0.051663 0.0572443 0.0631118 0.0692656 0.0757056 0.0824318 0.0894442 0.0967429 0.104328 0.112199 0.120356 0.1288 0.137529 0.146545 0.155848 0.165436 0.175311 0.185472 0.195919 0.206652 0.217671 0.228977 0.240569 0.252447 0.264612 0.277062 0.289799 0.302822 0.316132 0.329727 0.343609 0.357777 0.372231 0.386971 0.401998 0.417311 0.43291 0.448795 0.464967 0.481425 0.498169 0.515199 0.532515 0.550118 0.568007 0.586182 
0 0.000149012 0.000596046 0.0013411 0.00238419 0.00372529 0.00536442 0.00730157 0.00953674 0.0120699 0.0149012 0.0180304 0.0214577 0.025183 0.0292063 0.0335276 0.038147 0.0430644 0.0482798 0.0537932 0.0596046 0.0657141 0.0721216 0.0788271 0.0858307 0.0931323 0.100732 0.108629 0.116825 0.125319 0.13411 0.1432 0.152588 0.162274 0.172257 0.182539 0.193119 0.203997 0.215173 0.226647 0.238419 0.250489 0.262856 0.275522 0.288486 0.301749 0.315309 0.329167 0.343323 0.357777 0.372529 0.387579 0.402927 0.418574 0.434518 0.45076 0.4673 0.484139 0.501275 0.518709 0.536442 0.554472 0.572801 0.591427 0.610352 
0 0.000155032 0.000620127 0.00139529 0.00248051 0.00387579 0.00558114 0.00759655 0.00992203 0.0125576 0.0155032 0.0187588 0.0223246 0.0262004 0.0303862 0.0348821 0.0396881 0.0448042 0.0502303 0.0559664 0.0620127 0.068369 0.0750353 0.0820118 0.0892982 0.0968948 0.104801 0.113018 0.121545 0.130382 0.139529 0.148985 0.158752 0.16883 0.179217 0.189914 0.200921 0.212238 0.223866 0.235803 0.248051 0.260608 0.273476 0.286654 0.300141 0.313939 0.328047 0.342465 0.357193 0.372231 0.387579 0.403237 0.419206 0.435484 0.452072 0.468971 0.486179 0.503698 0.521527 0.539665 0.558114 0.576873 0.595942 0.615321 0.63501 
0 0.000161171 0.000644684 0.00145054 0.00257874 0.00402927 0.00580215 0.00789738 0.0103149 0.0130548 0.0161171 0.0195017 0.0232086 0.0272379 0.0315895 0.0362635 0.0412598 0.0465784 0.0522194 0.0581827 0.0644684 0.0710764 0.0780067 0.0852594 0.0928345 0.100732 0.108952 0.117494 0.126358 0.135545 0.145054 0.154885 0.165039 0.175515 0.186314 0.197434 0.208878 0.220643 0.232731 0.245141 0.257874 0.270928 0.284306 0.298005 0.312027 0.326371 0.341038 0.356027 0.371338 0.386971 0.402927 0.419206 0.435806 0.452729 0.469975 0.487542 0.505432 0.523644 0.542179 0.561036 0.580215 0.599717 0.619541 0.639688 0.660156 
0 0.000167429 0.000669718 0.00150687 0.00267887 0.00418574 0.00602746 0.00820404 0.0107155 0.0135618 0.0167429 0.020259 0.0241098 0.0282956 0.0328162 0.0376716 0.0428619 0.0483871 0.0542471 0.060442 0.0669718 0.0738364 0.0810359 0.0885702 0.0964394 0.104643 0.113182 0.122056 0.131265 0.140808 0.150687 0.1609 0.171448 0.182331 0.193548 0.205101 0.216989 0.229211 0.241768 0.25466 0.267887 0.281449 0.295346 0.309577 0.324143 0.339045 0.354281 0.369852 0.385757 0.401998 0.418574 0.435484 0.452729 0.470309 0.488224 0.506474 0.525059 0.543978 0.563233 0.582822 0.602746 0.623005 0.643599 0.664527 0.685791 
0 0.000173807 0.000695229 0.00156426 0.00278091 0.00434518 0.00625706 0.00851655 0.0111237 0.0140784 0.0173807 0.0210307 0.0250282 0.0293734 0.0340662 0.0391066 0.0444946 0.0502303 0.0563135 0.0627444 0.0695229 0.076649 0.0841227 0.091944 0.100113 0.108629 0.117494 0.126705 0.136265 0.146172 0.156426 0.167029 0.177979 0.189276 0.200921 0.212914 0.225254 0.237942 0.250978 0.264361 0.278091 0.29217 0.306596 0.321369 0.336491 0.351959 0.367776 0.38394 0.400452 0.417311 0.434518 0.452072 0.469975 0.488224 0.506822 0.525767 0.545059 0.564699 0.584687 0.605023 0.625706 0.646736 0.668115 0.689841 0.711914 
0 0.000180304 0.000721216 0.00162274 0.00288486 0.0045076 0.00649095 0.0088349 0.0115395 0.0146046 0.0180304 0.0218168 0.0259638 0.0304714 0.0353396 0.0405684 0.0461578 0.0521079 0.0584185 0.0650898 0.0721216 0.0795141 0.0872672 0.0953808 0.103855 0.11269 0.121886 0.131442 0.141358 0.151636 0.162274 0.173272 0.184631 0.196351 0.208431 0.220872 0.233674 0.246836 0.260359 0.274242 0.288486 0.303091 0.318056 0.333382 0.349069 0.365116 0.381523 0.398292 0.415421 0.43291 0.45076 0.468971 0.487542 0.506474 0.525767 0.54542 0.565434 0.585808 0.606543 0.627638 0.649095 0.670911 0.693089 0.715627 0.738525 
0 0.00018692 0.000747681 0.00168228 0.00299072 0.004673 0.00672913 0.00915909 0.0119629 0.0151405 0.018692 0.0226173 0.0269165 0.0315895 0.0366364 0.042057 0.0478516 0.0540199 0.0605621 0.0674782 0.0747681 0.0824318 0.0904694 0.0988808 0.107666 0.116825 0.126358 0.136265 0.146545 0.1572 0.168228 0.17963 0.191406 0.203556 0.21608 0.228977 0.242249 0.255894 0.269913 0.284306 0.299072 0.314213 0.329727 0.345615 0.361877 0.378513 0.395523 0.412907 0.430664 0.448795 0.4673 0.486179 0.505432 0.525059 0.545059 0.565434 0.586182 0.607304 0.628799 0.650669 0.672913 0.69553 0.718521 0.741886 0.765625 
0 0.000193655 0.000774622 0.0017429 0.00309849 0.00484139 0.0069716 0.00948912 0.012394 0.0156861 0.0193655 0.0234323 0.0278864 0.0327278 0.0379565 0.0435725 0.0495758 0.0559664 0.0627444 0.0699096 0.0774622 0.0854021 0.0937293 0.102444 0.111546 0.121035 0.130911 0.141175 0.151826 0.162864 0.17429 0.186103 0.198303 0.210891 0.223866 0.237228 0.250978 0.265114 0.279639 0.29455 0.309849 0.325535 0.341608 0.358069 0.374917 0.392152 0.409775 0.427785 0.446182 0.464967 0.484139 0.503698 0.523644 0.543978 0.564699 0.585808 0.607304 0.629187 0.651457 0.674115 0.69716 0.720592 0.744412 0.768619 0.793213 
0 0.00020051 0.00080204 0.00180459 0.00320816 0.00501275 0.00721836 0.00982499 0.0128326 0.0162413 0.020051 0.0242617 0.0288734 0.0338862 0.0393 0.0451148 0.0513306 0.0579474 0.0649652 0.0723841 0.080204 0.0884249 0.0970469 0.10607 0.115494 0.125319 0.135545 0.146172 0.1572 0.168629 0.180459 0.19269 0.205322 0.218355 0.23179 0.245625 0.259861 0.274498 0.289536 0.304976 0.320816 0.337057 0.3537 0.370743 0.388187 0.406033 0.424279 0.442927 0.461975 0.481425 0.501275 0.521527 0.542179 0.563233 0.584687 0.606543 0.628799 0.651457 0.674516 0.697975 0.721836 0.746098 0.770761 0.795824 0.821289 
0 0.000207484 0.000829935 0.00186735 0.00331974 0.00518709 0.00746942 0.0101667 0.013279 0.0168062 0.0207484 0.0251055 0.0298777 0.0350648 0.0406668 0.0466838 0.0531158 0.0599628 0.0672247 0.0749016 0.0829935 0.0915003 0.100422 0.109759 0.119511 0.129677 0.140259 0.151256 0.162667 0.174494 0.186735 0.199392 0.212463 0.22595 0.239851 0.254168 0.268899 0.284045 0.299607 0.315583 0.331974 0.34878 0.366001 0.383637 0.401689 0.420155 0.439036 0.458332 0.478043 0.498169 0.518709 0.539665 0.561036 0.582822 0.605023 0.627638 0.650669 0.674115 0.697975 0.722251 0.746942 0.772047 0.797568 0.823503 0.849854 
0 0.000214577 0.000858307 0.00193119 0.00343323 0.00536442 0.00772476 0.0105143 0.0137329 0.0173807 0.0214577 0.0259638 0.030899 0.0362635 0.042057 0.0482798 0.0549316 0.0620127 0.0695229 0.0774622 0.0858307 0.0946283 0.103855 0.113511 0.123596 0.13411 0.145054 0.156426 0.168228 0.180459 0.193119 0.206208 0.219727 0.233674 0.248051 0.262856 0.278091 0.293756 0.309849 0.326371 0.343323 0.360703 0.378513 0.396752 0.415421 0.434518 0.454044 0.474 0.494385 0.515199 0.536442 0.558114 0.580215 0.602746 0.625706 0.649095 0.672913 0.69716 0.721836 0.746942 0.772476 0.79844 0.824833 0.851655 0.878906 
0 0.000221789 0.000887156 0.0019961 0.00354862 0.00554472 0.0079844 0.0108677 0.0141945 0.0179649 0.0221789 0.0268365 0.0319376 0.0374823 0.0434706 0.0499025 0.056778 0.064097 0.0718596 0.0800658 0.0887156 0.0978089 0.107346 0.117326 0.12775 0.138618 0.149929 0.161684 0.173882 0.186524 0.19961 0.213139 0.227112 0.241528 0.256388 0.271691 0.287438 0.303629 0.320263 0.337341 0.354862 0.372827 0.391236 0.410088 0.429383 0.449122 0.469305 0.489932 0.511002 0.532515 0.554472 0.576873 0.599717 0.623005 0.646736 0.670911 0.69553 0.720592 0.746098 0.772047 0.79844 0.825276 0.852556 0.88028 0.908447 
0 0.00022912 0.000916481 0.00206208 0.00366592 0.00572801 0.00824833 0.0112269 0.0146637 0.0185587 0.022912 0.0277236 0.0329933 0.0387213 0.0449076 0.0515521 0.0586548 0.0662158 0.074235 0.0827124 0.0916481 0.101042 0.110894 0.121205 0.131973 0.1432 0.154885 0.167029 0.17963 0.19269 0.206208 0.220185 0.234619 0.249512 0.264863 0.280672 0.29694 0.313666 0.33085 0.348492 0.366592 0.385151 0.404168 0.423643 0.443577 0.463969 0.484818 0.506127 0.527893 0.550118 0.572801 0.595942 0.619541 0.643599 0.668115 0.693089 0.718521 0.744412 0.770761 0.797568 0.824833 0.852556 0.880738 0.909378 0.938477 
0 0.000236571 0.000946283 0.00212914 0.00378513 0.00591427 0.00851655 0.011592 0.0151405 0.0191622 0.0236571 0.0286251 0.0340662 0.0399805 0.0463679 0.0532284 0.0605621 0.068369 0.076649 0.0854021 0.0946283 0.104328 0.1145 0.125146 0.136265 0.147857 0.159922 0.17246 0.185472 0.198956 0.212914 0.227345 0.242249 0.257626 0.273476 0.289799 0.306596 0.323865 0.341608 0.359824 0.378513 0.397676 0.417311 0.437419 0.458001 0.479056 0.500584 0.522585 0.545059 0.568007 0.591427 0.615321 0.639688 0.664527 0.689841 0.715627 0.741886 0.768619 0.795824 0.823503 0.851655 0.88028 0.909378 0.93895 0.968994 
0 0.000244141 0.000976562 0.00219727 0.00390625 0.00610352 0.00878906 0.0119629 0.015625 0.0197754 0.0244141 0.029541 0.0351562 0.0412598 0.0478516 0.0549316 0.0625 0.0705566 0.0791016 0.0881348 0.0976562 0.107666 0.118164 0.12915 0.140625 0.152588 0.165039 0.177979 0.191406 0.205322 0.219727 0.234619 0.25 0.265869 0.282227 0.299072 0.316406 0.334229 0.352539 0.371338 0.390625 0.4104 0.430664 0.451416 0.472656 0.494385 0.516602 0.539307 0.5625 0.586182 0.610352 0.63501 0.660156 0.685791 0.711914 0.738525 0.765625 0.793213 0.821289 0.849854 0.878906 0.908447 0.938477 0.968994 1 
];
err = [
0 0 8.47033e-22 8.7363e-18 2.66133e-17 2.22804e-17 -4.62618e-16 -2.10618e-14 -2.80465e-15 1.02388e-15 9.82953e-16 -1.36004e-15 1.37838e-14 6.71053e-15 1.42217e-14 6.99097e-14 -5.306e-14 1.30681e-15 -1.14373e-13 -9.98092e-16 1.10158e-14 -1.92501e-14 7.8897e-15 6.003e-15 -5.21018e-15 -3.27201e-15 6.13884e-15 2.07624e-13 -1.44631e-14 5.42058e-15 -1.05311e-14 -1.84042e-15 2.57224e-13 2.22657e-14 2.10918e-15 -1.27941e-14 4.8356e-16 -6.64847e-14 -5.44607e-14 5.28277e-15 7.4406e-15 8.0317e-15 4.26993e-13 -1.53373e-14 -2.22056e-14 -5.37329e-15 -2.09561e-14 -7.83056e-13 -2.20848e-14 6.28463e-15 2.79343e-14 7.06015e-15 -5.9771e-13 1.6192e-14 -7.11453e-14 -6.37439e-14 6.22921e-14 -1.20592e-13 1.1063e-14 4.53395e-14 1.3957e-13 -2.44904e-14 2.89646e-14 -4.62871e-14 0 
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4.87832e-15 6.48355e-09 1.30005e-08 1.95802e-08 2.62444e-08 3.30023e-08 3.98465e-08 4.67477e-08 5.36495e-08 6.04622e-08 6.70565e-08 7.32565e-08 7.88331e-08 8.34964e-08 8.68891e-08 8.85795e-08 8.80558e-08 8.47201e-08 7.78844e-08 6.67667e-08 5.04902e-08 2.80864e-08 -1.493e-09 -3.93507e-08 -8.65965e-08 -1.44272e-07 -2.13249e-07 -2.94099e-07 -3.86965e-07 -4.91454e-07 -6.06568e-07 -7.30702e-07 -8.61675e-07 -9.96791e-07 -1.13288e-06 -1.26638e-06 -1.39341e-06 -1.51e-06 -1.61237e-06 -1.69729e-06 -1.76237e-06 -1.80629e-06 -1.8288e-06 -1.83064e-06 -1.81331e-06 -1.77883e-06 -1.72951e-06 -1.66766e-06 -1.59554e-06 -1.51517e-06 -1.42832e-06 -1.33647e-06 -1.24084e-06 -1.1424e-06 -1.04191e-06 -9.39951e-07 -8.3695e-07 -7.33233e-07 -6.2903e-07 -5.24507e-07 -4.19776e-07 -3.14916e-07 -2.09979e-07 -1.04999e-07 0 
-1.80157e-16 8.04721e-09 1.61436e-08 2.43337e-08 3.26526e-08 4.11205e-08 4.97377e-08 5.8478e-08 6.72817e-08 7.60487e-08 8.463e-08 9.28187e-08 1.00342e-07 1.06849e-07 1.11906e-07 1.14985e-07 1.15456e-07 1.12578e-07 1.05495e-07 9.32304e-08 7.46759e-08 4.85939e-08 1.36198e-08 -3.17165e-08 -8.89405e-08 -1.59541e-07 -2.44824e-07 -3.45729e-07 -4.62622e-07 -5.95119e-07 -7.41998e-07 -9.01193e-07 -1.06989e-06 -1.2446e-06 -1.42124e-06 -1.59512e-06 -1.76104e-06 -1.91352e-06 -2.04724e-06 -2.15765e-06 -2.24145e-06 -2.29689e-06 -2.32385e-06 -2.32358e-06 -2.29839e-06 -2.25125e-06 -2.18539e-06 -2.10403e-06 -2.01017e-06 -1.90643e-06 -1.79509e-06 -1.67798e-06 -1.55659e-06 -1.43208e-06 -1.30535e-06 -1.17704e-06 -1.04766e-06 -9.17547e-07 -7.86963e-07 -6.56075e-07 -5.25001e-07 -3.93816e-07 -2.6257e-07 -1.31292e-07 0 
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1.51314e-16 1.10065e-08 2.21084e-08 3.33955e-08 4.4946e-08 5.68199e-08 6.90522e-08 8.16443e-08 9.45547e-08 1.07689e-07 1.20886e-07 1.33907e-07 1.46422e-07 1.5799e-07 1.68051e-07 1.75909e-07 1.80721e-07 1.81487e-07 1.77038e-07 1.66026e-07 1.46904e-07 1.17896e-07 7.69601e-08 2.17522e-08 -5.03734e-08 -1.42275e-07 -2.56788e-07 -3.96313e-07 -5.62291e-07 -7.54714e-07 -9.71857e-07 -1.21037e-06 -1.46576e-06 -1.73287e-06 -2.00586e-06 -2.27772e-06 -2.53983e-06 -2.78209e-06 -2.99404e-06 -3.16657e-06 -3.29345e-06 -3.37205e-06 -3.40323e-06 -3.39059e-06 -3.3395e-06 -3.25608e-06 -3.14643e-06 -3.0162e-06 -2.87022e-06 -2.71253e-06 -2.5463e-06 -2.374e-06 -2.19748e-06 -2.0181e-06 -1.83683e-06 -1.65436e-06 -1.47115e-06 -1.28752e-06 -1.10366e-06 -9.19712e-07 -7.35734e-07 -5.51768e-07 -3.67826e-07 -1.83906e-07 0 
-2.89699e-16 1.23559e-08 2.48386e-08 3.75692e-08 5.06569e-08 6.4192e-08 7.82386e-08 9.28255e-08 1.07935e-07 1.23493e-07 1.39352e-07 1.55275e-07 1.70924e-07 1.85835e-07 1.99402e-07 2.10863e-07 2.19284e-07 2.23548e-07 2.22349e-07 2.14179e-07 1.97305e-07 1.69727e-07 1.29097e-07 7.26166e-08 -3.06206e-09 -1.01814e-07 -2.27786e-07 -3.84799e-07 -5.75464e-07 -8.00304e-07 -1.05724e-06 -1.34167e-06 -1.64772e-06 -1.96939e-06 -2.3005e-06 -2.63337e-06 -2.95737e-06 -3.25869e-06 -3.52209e-06 -3.73416e-06 -3.88629e-06 -3.97553e-06 -4.00414e-06 -3.97822e-06 -3.90592e-06 -3.79598e-06 -3.65668e-06 -3.49521e-06 -3.31752e-06 -3.12828e-06 -2.93105e-06 -2.72846e-06 -2.52236e-06 -2.31409e-06 -2.10452e-06 -1.89424e-06 -1.68363e-06 -1.47292e-06 -1.26223e-06 -1.05162e-06 -8.41122e-07 -6.30734e-07 -4.20435e-07 -2.10201e-07 0 
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